Interactions Between Representation Theory and Algebraic Geometry

“表示理论与代数几何之间的相互作用”会议将于2017年8月21日至25日在芝加哥大学举行。这将是这两个相互影响的数学分支的研究人员的一次重要聚会。表示理论是几何和物理中对称的代数研究，是现代数学许多重要领域的交叉点。代数几何关注的是可以用多项式方程描述的形状的研究，以及将几何思想应用于交换代数和数论。在过去的几十年里，表示理论中一些最重要的结果是应用了代数几何的思想和方法得到的，反过来，代数几何中的许多重要问题也受益于表示理论的应用。会议将由该领域的主要专家进行一小时的讲座，海报展示，以及由初级数学家进行的夜间演讲。会议将促进不同领域和职业阶段的数学家之间的富有成效的互动，包括博士生和博士后研究人员。会议将讨论表示理论和代数几何相互关联领域的最新发展，以及相关学科，包括p进霍奇理论、算术几何和非交换代数。特别是与分类、辛分辨率、量化、d模、颤振品种和朗兰兹程序相关的前沿研究将被介绍。这次会议的目的不仅是传播这项研究，而且要使初级数学家能够接触到它。网址是https://sites.google.com/site/2017uchicagomathconference/。

The conference "Interactions between representation theory and algebraic geometry," will take place at the University of Chicago, August 21-25, 2017. It will be a major gathering of researchers in these two interacting branches of mathematics. Representation theory is the algebraic study of symmetries in geometry and physics and is at the crossroads of many important areas of modern mathematics. Algebraic geometry is concerned with the study of shapes that can be described using polynomial equations, and with applying geometric ideas to commutative algebra and number theory. In the past decades, some of the most important results in representation theory have been obtained by applying ideas and methods from algebraic geometry, and conversely many important problems in algebraic geometry have benefited from applying representation theory. The conference will feature one-hour lectures by leading experts in the field, poster presentations, and evening talks by junior mathematicians. The conference will stimulate productive interactions between mathematicians in diverse fields and career stages, including Ph.D. students and postdoctoral researchers.The conference will address recent developments in the interconnected areas of representation theory and algebraic geometry, as well as related subjects, including p-adic Hodge theory, arithmetic geometry and non-commutative algebra. In particular, cutting-edge research related to categorification, symplectic resolutions, quantization, D-modules, quiver varities and the Langlands program will be presented. The conference aims not only to disseminate this research but to make it accessible to junior mathematicians. The webpage is https://sites.google.com/site/2017uchicagomathconference/.